Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 6x - 7 = 12?

Back

Add 7 to both sides to isolate the term with the variable.

Front

How do you isolate a variable in an equation?

Back

You can isolate a variable by performing inverse operations to both sides of the equation.

Front

What is the solution to the equation x = 2x - 4?

Back

The solution is x = 4.

Front

What is the principle of balancing equations?

Back

The principle of balancing equations states that whatever you do to one side of the equation, you must do to the other side to maintain equality.

Front

What is the solution to the equation 2x + 4 + 5x = 13 + 4x?

Back

The solution is x = 3.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the solution to the equation 4y - 7 = 2y + 7?

Back

The solution is y = 7.

Front

What is the solution to the equation 2x - (3 + 4x) = 11?

Back

The solution is x = -7.